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Finding the Third Proportional to 201,863 and 293,397

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Solution

The third proportional to 201,863 and 293,397 is: 426,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,863 : 293,397 = 293,397 : x
  2. Step 2: Convert to fraction form
    201,863/293,397 = 293,397/x
  3. Step 3: Cross multiply
    201,863x = 293,397 × 293,397
  4. Step 4: Simplify right side
    201,863x = 86,081,799,609
  5. Step 5: Solve for x
    x = 86,081,799,609/201,863
  6. Step 6: Final answer
    x = 426,436.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.